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Finding the Fourth Proportional to 75,906.75, 113,929.56 and 38,492.64

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Solution

The fourth proportional to 75,906.75, 113,929.56 and 38,492.64 is: 57,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906.75 : 113,929.56 = 38,492.64 : x
  2. Step 2: Convert to fraction form
    75,906.75/113,929.56 = 38,492.64/x
  3. Step 3: Cross multiply
    75,906.75x = 113,929.56 × 38,492.64
  4. Step 4: Simplify right side
    75,906.75x = 4,385,449,967.13
  5. Step 5: Solve for x
    x = 4,385,449,967.13/75,906.75
  6. Step 6: Final answer
    x = 57,774.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.